ABC Education · 11+ Practice

Week 61 · Maths Practice Paper

20 questions · 32 marks · Suggested time: 35 minutes.

Question 1

[1 marks]

Calculate 21.06 − 19.78

Question 2

[1 marks]

Calculate 28.4 × 6

Question 3

[1 marks]

Calculate 45% of 840

Question 4

[1 marks]

Fill in the missing number: 13 of 18 = 16 of [ ]

Question 5

[1 marks]

Fill in the missing number: 0.463 = 0.4 + 0.06 + ___

Question 6

[1 marks]

Circle the number closest in value to 0.3: 0.05, 0.24, 0.28, 0.4, 0.7

Question 7

[1 marks]

A bag contains 25 marbles and weighs 54 g. The empty bag weighs 14 g. Calculate the weight of one marble.

g

Question 8

[1 marks]

Calculate 912 ÷ 19

Question 9

[1 marks]

Calculate 14% of 25,400

Question 10

[1 marks]

A third of a quarter of a number is two. What is the number?

Question 11

[5 marks]

Amina cooks a turkey. Her recipe book says the cooking time (in minutes) is '40 times the weight (in kg) plus an additional 20'. She bought a 4.5 kg turkey.

(a)
For how long, in hours and minutes, should Amina cook the turkey?
(b)
She also needs to cook side dishes, which take 35 minutes, and gravy, which takes 10 minutes. If she wants to serve everything together at 7pm, at what time should she start cooking each of these (turkey, sides, gravy)?

Question 12

[4 marks]

(a) A train leaves King's Cross for York at 09:20. It calls at 3 stations, and at each one it is delayed by 4 minutes. According to the timetable the undelayed journey takes 2 hours 15 minutes. At what time does it arrive?

(a)
(b)
Another train left London at 23:15 and arrived in Edinburgh at 06:42 the next day. How long did the journey take?

Question 13

[2 marks]

Write down two calculations with the same answer using the given numbers and symbols. You may use each number or symbol only once (across both calculations combined): 4, 4, 9, 32, +, ×

Question 14

[2 marks]

A standard six-sided die has opposite faces that always add up to 7.

(a)
If one face shows 2, what number is opposite it?
(b)
If the three visible faces of a die (top, front, right) show 3, 5 and 6, what is the sum of the three hidden faces?

Question 15

[2 marks]

In this number pyramid, the sum of each two blocks side by side gives the number above them. The bottom row is: 16, 24, 20, 15, 19. What number replaces A, if A labels the middle block of the row that is third from the bottom?

Question 16

[2 marks]

In a class of 32 pupils, 22 like orange squash, 19 like raspberry cordial and 13 like both. How many pupils:

(a)
like only orange squash?
(b)
like neither?

Question 17

[1 marks]

On a centimetre grid, quadrilateral ABCD has vertices A(1,2), B(2,6), C(6,5), D(5,1). Find the area of ABCD.

cm²

Question 18

[1 marks]

The average age of Maya, Nora, Leo and Owen is 17 years. Leo is 8 years old, Maya and Nora are the same age, and Owen is 3 years older than Maya and Nora. How old is Maya?

Question 19

[1 marks]

In a code, each letter is represented by one digit. The words EAST, SEAT, SATE, EATS and TEAS have been written in this code. Match up the code numbers with the words: 4729, 2479, 2794, 4792, 9472.

Question 20

[2 marks]

Twenty-one red snooker balls are placed in a triangular frame. A second layer is placed on top of them, so that they rest in the spaces. This is followed by more layers until there is a single ball at the top.

(a)
How many layers are there?
(b)
How many balls are needed to make this pyramid?